Pith Number

pith:2FUVFBAW

pith:2011:2FUVFBAW36NHUV4XTCHCIUDJQD

not attested not anchored not stored refs pending

Gadgets and Anti-Gadgets Leading to a Complexity Dichotomy

Jin-Yi Cai, Michael Kowalczyk, Tyson Williams

arxiv:1108.3383 v2 · 2011-08-17 · cs.CC · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FUVFBAW36NHUV4XTCHCIUDJQD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:07:29.032141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d169528416df9a7a5797988e24506980e250c65e82d9c2df6bdfe6c2ac0dac71

Aliases

arxiv: 1108.3383 · arxiv_version: 1108.3383v2 · doi: 10.48550/arxiv.1108.3383 · pith_short_12: 2FUVFBAW36NH · pith_short_16: 2FUVFBAW36NHUV4X · pith_short_8: 2FUVFBAW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2FUVFBAW36NHUV4XTCHCIUDJQD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d169528416df9a7a5797988e24506980e250c65e82d9c2df6bdfe6c2ac0dac71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bafc91b98ce13ebc316556df19ab0ae86124760470bc56e57f745018dd624927",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2011-08-17T02:17:51Z",
    "title_canon_sha256": "87f3adcb66532e8f814eb07227b02240931570f0eb4e1aaef4967f2f7d243d61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3383",
    "kind": "arxiv",
    "version": 2
  }
}